Cosmic String Solution in a Born-Infeld Type Theory of Gravity

TL;DR

This paper derives an exact exterior metric solution for a cosmic string within a Born-Infeld inspired gravity theory, revealing differences from General Relativity due to a unique spin-1 based Lagrangian.

Contribution

It provides the first exact solution for a cosmic string in an effective Born-Infeld type gravity theory, highlighting novel features from the spin-1 gravitation framework.

Findings

Solution exhibits distinct features from GR cosmic strings

Parameter family allows diverse metric behaviors

Differences stem from the spin-1 gravitation Lagrangian

Abstract

In this work we derive an exact solution for the exterior metric of a local cosmic string in an effective theory of gravity, the so-called NDL theory, which is inspired in the Born-Infeld theory. The solution is given by a family of parameters which presents quite different features from that of the General Relativity theory. The differences come from the specific choice of the gravitation Lagrangian which is based on a spin-1 construction of the gravitation theory.